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Finding the Fourth Proportional to 21,859.74, 32,764.10 and 8,715.87

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Solution

The fourth proportional to 21,859.74, 32,764.10 and 8,715.87 is: 13,063.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,859.74 : 32,764.10 = 8,715.87 : x
  2. Step 2: Convert to fraction form
    21,859.74/32,764.10 = 8,715.87/x
  3. Step 3: Cross multiply
    21,859.74x = 32,764.10 × 8,715.87
  4. Step 4: Simplify right side
    21,859.74x = 285,567,592.69
  5. Step 5: Solve for x
    x = 285,567,592.69/21,859.74
  6. Step 6: Final answer
    x = 13,063.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.